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NEETPhysicsCenter of Mass, Momentum and Collision

The position-time (x-t) graph of a moving body of mass 2 ~kg is shown in the figure. The impulse on the body at t=4 ~s is

Options

  1. A1.5 ~kg - ms ⁻¹
  2. B-1.5 ~kg - ms ⁻¹
  3. C1 ~kg - ms ⁻¹
  4. D2 ~kg - ms ⁻¹

Correct answer

B. -1.5 ~kg - ms ⁻¹

Step-by-step solution

Here, mass of the body, m=2 ~kg and time, t=4 ~s Impulse =p_f-p_i where, p_i= initial momentum, p_f= final momentum Impulse =m v_f-m v_i=m (v_f-v_i ) ( p=m v) As from the graph, v_f= 3-3 8-4 =0 and v_i= 3-0 4-0 = 3 4 Impulse =2 (0- 3 4 )=-1.5 ~kg - ms ⁻¹ Hence, the correct option is (b).

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